This is common on these trucks especially the silverado ss. The issue may be resolved early on by switching to a better gear oil (schaeffers, royal purple, amsoil, etc) but at this point you probably need a rebuild. My shop charges around $1500 for front and rear ring and pinions with new bearings and installation, I'm certain you could find a qualified shop to replace the front with good stuff for $1000 tops. I would invest in some yukon, precision, or dana spicer gears and it might be a good time to regear to 3.90s or 4.10s if you have ever contemplated doing so. The ifs 8.25 axles are notoriously weak and always break the bearing adjuster as previously stated. Once the backlash has gone and you lose your pattern the only solution is all new gears or you will hear the whine until the ring gear fails or something else. I can't recall what limited slips are available for those axles but I'll try to check at work tomorrow. I want to say detroit makes a tru-trac that works quite well but I'll have to make sure. What trans kit are you running? Check out finish line transmissions if you need a rebuild, I'm doing their level 5 on my 4l60 once I get one of those cool whooshy things in my exhaust :Chevy: